Atkin-Lehner |
2+ 3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566a |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8.1103902697366E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19007634,-31901270508] |
[a1,a2,a3,a4,a6] |
Generators |
[7167608068862265:-1060530218540539491:316517393375] |
Generators of the group modulo torsion |
j |
759465290701680853951645993/81103902697365575328 |
j-invariant |
L |
2.9061819683107 |
L(r)(E,1)/r! |
Ω |
0.072305331136773 |
Real period |
R |
20.096595386676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528bm4 40698bh4 94962x4 |
Quadratic twists by: -4 -3 -7 |